Methods of Applied Mathematics with a Software Overview

✍ Scribed by Jon H. Davis

Publisher: Birkhäuser
Year: 2016
Tongue: English
Leaves: 791
Series: Applied and Numerical Harmonic Analysis
Edition: 2ed.
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

Broadly organized around the applications of Fourier analysis, "Methods of Applied Mathematics with a MATLAB Overview" covers both classical applications in partial differential equations and boundary value problems, as well as the concepts and methods associated to the Laplace, Fourier, and discrete transforms. Transform inversion problems are also examined, along with the necessary background in complex variables. A final chapter treats wavelets, short-time Fourier analysis, and geometrically-based transforms. The computer program MATLAB is emphasized throughout, and an introduction to MATLAB is provided in an appendix. Rich in examples, illustrations, and exercises of varying difficulty, this text can be used for a one- or two-semester course and is ideal for students in pure and applied mathematics, physics, and engineering.

✦ Table of Contents

Front Matter....Pages i-xvii
Introduction....Pages 1-4
Fourier Series....Pages 5-84
Elementary Boundary Value Problems....Pages 85-172
Sturm–Liouville Theory and Boundary Value Problems....Pages 173-284
Functions of a Complex Variable....Pages 285-350
Laplace Transforms....Pages 351-423
Fourier Transforms....Pages 425-566
Discrete Variable Transforms....Pages 567-664
Additional Topics....Pages 665-707
Back Matter....Pages 709-781

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